factordbrpc · fdb
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Enter a value, an expression, or a term with a variable like 10^n+1 to list a range. Switch to Database id to look a number up by its stored id. Reading never stores anything; use Create to add a number to the database. See the expression syntax & functions reference.

P · Proven prime
id #1100000008943013344 2,616 digits created 2026-07-06

Value

344117597743749188586303177732472062876922619055774593244497112868912533149843877805869250277625531721872191211134186739860723483176238318201706642896581415077372585943212790710961134273180349027208374055941392556788412350175610315705071995034388089220774839180297033390877122802253455502528741061586805005418109096622776068702384373166660482359194741380646067395217588653840978936634012283776901606498800881887646405370309880632751570647352954219921040644761941001349678889625157585617308245912049010413592730869128417362399993475510148237380033953119307894758869502527709379164386985461999853327574933523353933913151331588987575904953057674441033767498697621559488436530358444497178686031171845327153765105794535619107341250343084684583758469472226017396424346465279099951060395615007777889700975969137176505448366286041519216682058467410028179946873152096442015290607326051081520090554882018741787923639336246683824600708053382598684327326580036519530223934738356538465649439617803032412731074743139146774157037935618166681259075992600268445240968423863869431371710059814327982782949458521059768902397979984517201785438256354814926571249769392187602555934254963851023161487278472063539018887917703186987042707046583793360381486857660001666238968974912490508500005619823236379404186731859624484177093391356525510934444806138583446819248948953797163160570640325500992438960805357961364072879042003366702517570812164969452404862544553320059935993221666508298071850261046035604205807003724135839195359435420306522506932986091379335828129046132114297587074760451756291182884520917718783621282343886269097029289590064775293868179992663822396508296290438752622108666221781515548077272825456965371306084281075681038063173104485480325723983794566230610036823298484037383195107854316043630101975437294934108310169753844036293112310770315588200301889742318923586386980149561479129464438918742326187708944446509959958684423317563924699318409128999211578628405103511459278964872631180541705978484389439699270344603965619281019095461629519407672280051497451794933365028377471331753533398514633341362703061920776481730158244466841849141379626203850864667157059197096154888800225483863204405434909604168297438170708759256609711236831077814914228504812355535762021763894899452780522191829971999885920478520191117118674566728233963629103817147914839876035908809133244006985590684187224982798637524851500155085671656562671499967417399263809172080125485734562128449395808127845605270059552620135720957803724057170985829813228841302868169701365655187077444859600752298184021500127656318289005257001825734773062138780253003715209831431
term (22^1949-15^1949)/7
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Is factor of

Primality

Primality certificateproven prime

Proven by a stored certificate (2,616 digits).

Certificatedownload
Certificate chainshow steps
Uploaded byA.C.

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008943013344 --detail 2 --decimal
curl
curl -s 'https://factordb.com:4059/rpc' -H 'Content-Type: application/json' -d '{"jsonrpc":"2.0","id":1,"method":"get_number","params":{"target":{"id":1100000008943013344},"decimal":true,"detail":2}}'